Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Aug 02 2018 17:25:31
%S 0,0,-1,1,-6,15,-150,705,-8120,56315,-750960,7042275,-106939800,
%T 1270108125,-21672530880,312137314125,-5928695604000,100366159008375,
%U -2104970646729600,40921600563449775
%N Expansion of e.g.f. arctanh(log(x+1) - arcsin(x)).
%e -1/2!*x^2 + 1/3!*x^3 - 6/4!*x^4 + 15/5!*x^5 ...
%t Range[0, 20]! CoefficientList[ Series[ ArcTanh[ Log[x + 1] - ArcSin[x]], {x, 0, 20}], x] (* _Robert G. Wilson v_, Aug 01 2018 *)
%K sign
%O 0,5
%A Patrick Demichel (patrick.demichel(AT)hp.com)
%E a(0)=a(1)=0 inserted and title improved by _Sean A. Irvine_, Aug 01 2018